# Seismic Applications of Acoustic Reciprocity download epub

#### by **P.M. van den Berg,J.T. Fokkema**

**Epub Book:**1487 kb. |

**Fb2 Book:**1508 kb.

The seismic applications of the reciprocity theorem developed in this book are partly based on lecture notes and .

The seismic applications of the reciprocity theorem developed in this book are partly based on lecture notes and publications from Professor de Hoop. Every student Professor de Hoop has taught knows the egg-shaped figure (affectionately known as ''de Hoop's egg'') that plays such an important role in his theoretical description of acoustic, electromagnetic and elastodynamic wave phenomena.

eBook ISBN: 9781483291208. The seismic applications of the reciprocity theorem developed in this book are partly based on lecture notes and publications from Professor de Hoop

eBook ISBN: 9781483291208. Imprint: Elsevier Science. The seismic applications of the reciprocity theorem developed in this book are partly based on lecture notes and publications from Professor de Hoop. Every student Professor de Hoop has taught knows the egg-shaped figure (affectionately known as "de Hoop's egg") that plays such an important role in his theoretical description of acoustic, electromagnetic and elastodynamic wave phenomena.

Seismic applications of acoustic reciprocity. JT Fokkema, PM van den Berg. A Abubakar, PM van den Berg, JJ Mallorqui. Microwave Theory and Techniques, IEEE Transactions on 50 (7), 1761-1771, 2002. A modified gradient method for two-dimensional problems in tomography. RE Kleinman, PM van den Berg. Journal of Computational and Applied Mathematics 42 (1), 17-35, 1992. Extended contrast source inversion. PM van den Berg, AL Van Broekhoven, A Abubakar. Inverse problems 15 (5), 1325, 1999. Contrast Source Inversion Method: State of Art. PM van den Berg, A Abubakar.

Institutional Repository. c) 1993 Elsevier Science Publishers BV.

nl/uuid:f02-626e637e3cdb. 0-444 89044 0. Part of collection. Institutional Repository. Previous.

Authors: J. T. Fokkema and P. M. van de Berg Event name: 55th EAEG Meeting Session: Modelling II Publication date: 11 June 1993 DOI . The particular choice of the two states determines the acoustic application

Authors: J. van de Berg Event name: 55th EAEG Meeting Session: Modelling II Publication date: 11 June 1993 DOI: 1. 997/2214-4609. The particular choice of the two states determines the acoustic application. This makes it possible to formulate the seismic experiment in terme of a geological system response to a known source function. Back to the article list.

2007; Van Borselen, Fokkema, and Van den Berg 2013), we develop a multi-depth-level (MDL) field . van Borselen, R. J. Fokkema, and P. van den Berg, 2008, Method for deghosting marine seismic streamer data with irregular receiver positions: .

2007; Van Borselen, Fokkema, and Van den Berg 2013), we develop a multi-depth-level (MDL) field decomposition scheme for land acquisition. Patent Application 12/082,006. van den Berg, 2011, Methods and systems for deghosting marine seismic wavefields based on cost-functional minimization: .

Icone Seismic is used for determining the stability of the ground, by measuring the propagation speed of sound. The Icone Seismic can be used with all onshore and offshore . van den Berg equipment. An Icone Seismic Module contains 3 accelerometers to receive left and right shear waves as well as compression waves. The maximum water depth is 1,000 m.

2/2 20. Personal Name: Fokkema, J. Publication, Distribution, et. Amsterdam ; New York Includes bibliographical references (p. -343) and index. Personal Name: Berg, P. van den. Amsterdam ; New York. Physical Description: xiii, 350 p. : ill. ;, 25 cm. Bibliography, etc. Note: Includes bibliographical references (p. Rubrics: Seismic waves Reciprocity theorems. Jacob T. Fokkema, P. Van Den Berg. Progress in seismic data processing requires the knowledge of all the theoretical aspects of the acoustic wave theory. We choose the reciprocity theorem as the central theme, because it constitute. More).

1993), Seismic Applications of Acoustic Reciprocity, Elsevier, Amsterdam. Gisolf . Verschuur . 2010), The principles of quantitative acoustical imaging, EAGE Publications, The Netherlands. 1982), A leastsquare iterative technique for solving time-domain scattering problems, Journal of the Acoustical Society of America, 72, 6, 1947–1953.

On the one hand this figure represents the domain for the application of a reciprocity theorem in the analysis of a wavefield and on the other hand it symbolizes the power of a consistent wavefield description of this theorem.

The roots of the reciprocity theorem lie in Green's theorem for Laplace's equation and Helmholtz's extension to the wave equation. In 1894, J.W. Strutt, who later became Lord Rayleigh, introduced in his book *The Theory of Sound* this extension under the name of Helmholtz's theorem. Nowadays it is known as Rayleigh's reciprocity theorem.

Progress in seismic data processing requires the knowledge of all the theoretical aspects of the acoustic wave theory. The reciprocity theorem was chosen as the central theme of this book as it constitutes the fundaments of the seismic wave theory. In essence, two states are distinguished in this theorem. These can be completely different, although sharing the same time-invariant domain of application, and they are related via an interaction quantity. The particular choice of the two states determines the acoustic application, in turn making it possible to formulate the seismic experiment in terms of a geological system response to a known source function.

In linear system theory, it is well known that the response to a known input function can be written as an integral representation where the impulse response acts as a kernel and operates on the input function. Due to the temporal invariance of the system, this integral representation is of the convolution type. In seismics, the temporal behaviour of the system is dealt with in a similar fashion; however the spatial interaction needs a different approach. The reciprocity theorem handles this interaction by identifying one state with the spatial impulse function, also known as the Green's function, while the other state is connected with the actual source distribution. In general, the resulting integral representation is not a spatial convolution. Moreover, the systematic use of the reciprocity theorem leads to a hierarchical description of the seismic experiment in terms of increasing complexity. Also from an educational point of view this approach provides a hierarchy and the student learns to break down the seismic problem into constituent partial solutions.

This book should contribute to the understanding that the reciprocity theorem is a powerful tool in the analysis of the seismic experiment.

**Author:**P.M. van den Berg,J.T. Fokkema

**ISBN:**0444890440

**Category:**Engineering & Transportation

**Subcategory:**Engineering

**Language:**English

**Publisher:**Elsevier Science (February 10, 1993)

**Pages:**350 pages